References analysis of the Wikipedia article "Tsallis entropy" in the English version

arxiv.org

Nielsen, F.; Nock, R. (2012). "A closed-form expression for the Sharma–Mittal entropy of exponential families". Journal of Physics A: Mathematical and Theoretical. 45 (3): 032003. arXiv:1112.4221. Bibcode:2012JPhA...45c2003N. doi:10.1088/1751-8113/45/3/032003. S2CID 8653096.

Pressé, S.; Ghosh, K.; Lee, J.; Dill, K. (2013). "Nonadditive Entropies Yield Probability Distributions with Biases not Warranted by the Data". Phys. Rev. Lett. 111 (18): 180604. arXiv:1312.1186. Bibcode:2013PhRvL.111r0604P. doi:10.1103/PhysRevLett.111.180604. PMID 24237501. S2CID 2577710.

Lutz, E. (2003). "Anomalous diffusion and Tsallis statistics in an optical lattice". Physical Review A. 67 (5): 051402. arXiv:cond-mat/0210022. Bibcode:2003PhRvA..67e1402L. doi:10.1103/PhysRevA.67.051402. S2CID 119403353.

Burlaga, L. F.; - Viñas, A. F. (2005). "Triangle for the entropic index q of non-extensive statistical mechanics observed by Voyager 1 in the distant heliosphere". Physica A: Statistical Mechanics and Its Applications. 356 (2–4): 375. arXiv:physics/0507212. Bibcode:2005PhyA..356..375B. doi:10.1016/j.physa.2005.06.065. S2CID 18823047.

Liu, B.; Goree, J. (2008). "Superdiffusion and Non-Gaussian Statistics in a Driven-Dissipative 2D Dusty Plasma". Physical Review Letters. 100 (5): 055003. arXiv:0801.3991. Bibcode:2008PhRvL.100e5003L. doi:10.1103/PhysRevLett.100.055003. PMID 18352381. S2CID 2022402.

Pickup, R.; Cywinski, R.; Pappas, C.; Farago, B.; Fouquet, P. (2009). "Generalized Spin-Glass Relaxation". Physical Review Letters. 102 (9): 097202. arXiv:0902.4183. Bibcode:2009PhRvL.102i7202P. doi:10.1103/PhysRevLett.102.097202. PMID 19392558. S2CID 6454082.

Devoe, R. (2009). "Power-Law Distributions for a Trapped Ion Interacting with a Classical Buffer Gas". Physical Review Letters. 102 (6): 063001. arXiv:0903.0637. Bibcode:2009PhRvL.102f3001D. doi:10.1103/PhysRevLett.102.063001. PMID 19257583. S2CID 15945382.

Khachatryan, V.; Sirunyan, A.; Tumasyan, A.; Adam, W.; Bergauer, T.; Dragicevic, M.; Erö, J.; Fabjan, C.; Friedl, M.; Frühwirth, R.; Ghete, V. M.; Hammer, J.; Hänsel, S.; Hoch, M.; Hörmann, N.; Hrubec, J.; Jeitler, M.; Kasieczka, G.; Kiesenhofer, W.; Krammer, M.; Liko, D.; Mikulec, I.; Pernicka, M.; Rohringer, H.; Schöfbeck, R.; Strauss, J.; Taurok, A.; Teischinger, F.; Waltenberger, W.; et al. (2010). "Transverse-Momentum and Pseudorapidity Distributions of Charged Hadrons in pp Collisions at √s=7 TeV". Physical Review Letters. 105 (2): 022002. arXiv:1005.3299. Bibcode:2010PhRvL.105b2002K. doi:10.1103/PhysRevLett.105.022002. PMID 20867699. S2CID 119196941.

Chatrchyan, S.; Khachatryan, V.; Sirunyan, A. M.; Tumasyan, A.; Adam, W.; Bergauer, T.; Dragicevic, M.; Erö, J.; Fabjan, C.; Friedl, M.; Frühwirth, R.; Ghete, V. M.; Hammer, J.; Hänsel, S.; Hoch, M.; Hörmann, N.; Hrubec, J.; Jeitler, M.; Kiesenhofer, W.; Krammer, M.; Liko, D.; Mikulec, I.; Pernicka, M.; Rohringer, H.; Schöfbeck, R.; Strauss, J.; Taurok, A.; Teischinger, F.; Wagner, P.; et al. (2011). "Charged particle transverse momentum spectra in pp collisions at $ √s= 0.9 and 7 TeV". Journal of High Energy Physics. 2011 (8): 86. arXiv:1104.3547. Bibcode:2011JHEP...08..086C. doi:10.1007/JHEP08(2011)086. S2CID 122835798.

Adare, A.; Afanasiev, S.; Aidala, C.; Ajitanand, N.; Akiba, Y.; Al-Bataineh, H.; Alexander, J.; Aoki, K.; Aphecetche, L.; Armendariz, R.; Aronson, S. H.; Asai, J.; Atomssa, E. T.; Averbeck, R.; Awes, T. C.; Azmoun, B.; Babintsev, V.; Bai, M.; Baksay, G.; Baksay, L.; Baldisseri, A.; Barish, K. N.; Barnes, P. D.; Bassalleck, B.; Basye, A. T.; Bathe, S.; Batsouli, S.; Baublis, V.; Baumann, C.; et al. (2011). "Measurement of neutral mesons in p+p collisions at √s=200 GeV and scaling properties of hadron production". Physical Review D. 83 (5): 052004. arXiv:1005.3674. Bibcode:2011PhRvD..83e2004A. doi:10.1103/PhysRevD.83.052004. S2CID 85560021.

Tsallis, C.; Bukman, D. (1996). "Anomalous diffusion in the presence of external forces: Exact time-dependent solutions and their thermostatistical basis". Physical Review E. 54 (3): R2197 – R2200. arXiv:cond-mat/9511007. Bibcode:1996PhRvE..54.2197T. doi:10.1103/PhysRevE.54.R2197. PMID 9965440. S2CID 16272548.

Abe, S. (2000). "Axioms and uniqueness theorem for Tsallis entropy". Physics Letters A. 271 (1–2): 74–79. arXiv:cond-mat/0005538. Bibcode:2000PhLA..271...74A. doi:10.1016/S0375-9601(00)00337-6. S2CID 119513564.

Lyra, M.; Tsallis, C. (1998). "Nonextensivity and Multifractality in Low-Dimensional Dissipative Systems". Physical Review Letters. 80 (1): 53–56. arXiv:cond-mat/9709226. Bibcode:1998PhRvL..80...53L. doi:10.1103/PhysRevLett.80.53. S2CID 15039078.

Baldovin, F.; Robledo, A. (2004). "Nonextensive Pesin identity: Exact renormalization group analytical results for the dynamics at the edge of chaos of the logistic map". Physical Review E. 69 (4): 045202. arXiv:cond-mat/0304410. Bibcode:2004PhRvE..69d5202B. doi:10.1103/PhysRevE.69.045202. PMID 15169059. S2CID 30277614.

Tsallis, C.; Gell-Mann, M.; Sato, Y. (2005). "Asymptotically scale-invariant occupancy of phase space makes the entropy Sq extensive". Proceedings of the National Academy of Sciences. 102 (43): 15377–82. arXiv:cond-mat/0502274. Bibcode:2005PNAS..10215377T. doi:10.1073/pnas.0503807102. PMC 1266086. PMID 16230624.

Caruso, F.; Tsallis, C. (2008). "Nonadditive entropy reconciles the area law in quantum systems with classical thermodynamics". Physical Review E. 78 (2): 021102. arXiv:cond-mat/0612032. Bibcode:2008PhRvE..78b1102C. doi:10.1103/PhysRevE.78.021102. PMID 18850781. S2CID 18006627.

Andrade, J.; Da Silva, G.; Moreira, A.; Nobre, F.; Curado, E. (2010). "Thermostatistics of Overdamped Motion of Interacting Particles". Physical Review Letters. 105 (26): 260601. arXiv:1008.1421. Bibcode:2010PhRvL.105z0601A. doi:10.1103/PhysRevLett.105.260601. PMID 21231636. S2CID 14831948.

Nobre, F.; Rego-Monteiro, M.; Tsallis, C. (2011). "Nonlinear Relativistic and Quantum Equations with a Common Type of Solution". Physical Review Letters. 106 (14): 140601. arXiv:1104.5461. Bibcode:2011PhRvL.106n0601N. doi:10.1103/PhysRevLett.106.140601. PMID 21561176. S2CID 12679518.

Majhi, Abhishek (2017). "Non-extensive statistical mechanics and black hole entropy from quantum geometry". Physics Letters B. 775: 32–36. arXiv:1703.09355. Bibcode:2017PhLB..775...32M. doi:10.1016/j.physletb.2017.10.043. S2CID 119397503.

Beck, C.; Cohen, E. G. D. (2003). "Superstatistics". Physica A: Statistical Mechanics and Its Applications. 322: 267–275. arXiv:cond-mat/0205097. Bibcode:2003PhyA..322..267B. doi:10.1016/S0378-4371(03)00019-0. S2CID 261331784.

Tsekouras, G. A.; Tsallis, C. (2005). "Generalized entropy arising from a distribution of q indices". Physical Review E. 71 (4): 046144. arXiv:cond-mat/0412329. Bibcode:2005PhRvE..71d6144T. doi:10.1103/PhysRevE.71.046144. PMID 15903763. S2CID 16663654.

doi.org

Tsallis, C. (1988). "Possible generalization of Boltzmann-Gibbs statistics". Journal of Statistical Physics. 52 (1–2): 479–487. Bibcode:1988JSP....52..479T. doi:10.1007/BF01016429. hdl:10338.dmlcz/142811. S2CID 16385640.

Cho, A. (2002). "A Fresh Take on Disorder, Or Disorderly Science?". Science. 297 (5585): 1268–1269. doi:10.1126/science.297.5585.1268. PMID 12193769. S2CID 5441957.

Abe, S.; Rajagopal, A.K. (2003). "Revisiting Disorder and Tsallis Statistics". Science. 300 (5617): 249–251. doi:10.1126/science.300.5617.249d. PMID 12690173. S2CID 39719500.

Douglas, P.; Bergamini, S.; Renzoni, F. (2006). "Tunable Tsallis Distributions in Dissipative Optical Lattices" (PDF). Physical Review Letters. 96 (11): 110601. Bibcode:2006PhRvL..96k0601D. doi:10.1103/PhysRevLett.96.110601. PMID 16605807.

Plastino, A. R.; Plastino, A. (1995). "Non-extensive statistical mechanics and generalized Fokker-Planck equation". Physica A: Statistical Mechanics and Its Applications. 222 (1–4): 347–354. Bibcode:1995PhyA..222..347P. doi:10.1016/0378-4371(95)00211-1.

Ribeiro, M.; Nobre, F.; Curado, E. M. (2012). "Time evolution of interacting vortices under overdamped motion" (PDF). Physical Review E. 85 (2): 021146. Bibcode:2012PhRvE..85b1146R. doi:10.1103/PhysRevE.85.021146. PMID 22463191. S2CID 25200027.

García-Morales, V.; Krischer, K. (2011). "Superstatistics in nanoscale electrochemical systems". Proceedings of the National Academy of Sciences. 108 (49): 19535–19539. Bibcode:2011PNAS..10819535G. doi:10.1073/pnas.1109844108. PMC 3241754. PMID 22106266.

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Cho, A. (2002). "A Fresh Take on Disorder, Or Disorderly Science?". Science. 297 (5585): 1268–1269. doi:10.1126/science.297.5585.1268. PMID 12193769. S2CID 5441957.

Abe, S.; Rajagopal, A.K. (2003). "Revisiting Disorder and Tsallis Statistics". Science. 300 (5617): 249–251. doi:10.1126/science.300.5617.249d. PMID 12690173. S2CID 39719500.

ncbi.nlm.nih.gov

semanticscholar.org

api.semanticscholar.org

Cho, A. (2002). "A Fresh Take on Disorder, Or Disorderly Science?". Science. 297 (5585): 1268–1269. doi:10.1126/science.297.5585.1268. PMID 12193769. S2CID 5441957.

Abe, S.; Rajagopal, A.K. (2003). "Revisiting Disorder and Tsallis Statistics". Science. 300 (5617): 249–251. doi:10.1126/science.300.5617.249d. PMID 12690173. S2CID 39719500.

Tsallis entropy (English Wikipedia)

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nih.gov

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